Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 12, Pages 2077–2085
DOI: https://doi.org/10.1134/S0044466919120068 (Mi zvmmf10998) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On variational and pde-based methods for accurate distance function estimation

A. G. Belyaevab, P.-A. Fayolleab

a Computer Graphics Laboratory, University of Aizu, Aizu-Wakamatsu, Japan
b Institute of Sensors, Signals and Systems, School of Engineering & Physical Sciences Heriot-Watt University, Edinburgh, UK
Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0044466919120068
Abstract: A new variational problem for accurate approximation of the distance from the boundary of a domain is proposed and studied. It is shown that the problem can be efficiently solved by the alternating direction method of multipliers. Links between this problem and $p$-Laplacian diffusion are established and studied. Advantages of the proposed distance function estimation method are demonstrated by numerical experiments.
Key words: distance function, $p$-Laplacian, variational methods.
Received: 01.07.2019
Revised: 01.07.2019
Accepted: 05.08.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 12, Pages 2009–2016
DOI: https://doi.org/10.1134/S0965542519120066
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. G. Belyaev, P.-A. Fayolle, “On variational and pde-based methods for accurate distance function estimation”, Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019), 2077–2085; Comput. Math. Math. Phys., 59:12 (2019), 2009–2016
Citation in format AMSBIB
\Bibitem{BelFay19}
\by A.~G.~Belyaev, P.-A.~Fayolle
\paper On variational and pde-based methods for accurate distance function estimation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2019
\vol 59
\issue 12
\pages 2077--2085
\mathnet{http://mi.mathnet.ru/zvmmf10998}
\crossref{https://doi.org/10.1134/S0044466919120068}
\elib{https://elibrary.ru/item.asp?id=41240359}
\transl
\jour Comput. Math. Math. Phys.
\yr 2019
\vol 59
\issue 12
\pages 2009--2016
\crossref{https://doi.org/10.1134/S0965542519120066}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000514816500007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85079715420}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10998
  • https://www.mathnet.ru/eng/zvmmf/v59/i12/p2077
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:89
    References:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024